Numerical Integration - Gaussian Quadrature

In this video we are going to look at how we can derive Gaussian quadrature for computing an integral.

[@arnavbhavsar2713]

U should not stop making these videos helps me so much

[@sunsaani]

Very clear and to the point. Thanks for doing such a great job!

[@beoptimistic5853]

kzbin.info/www/bejne/joGmmHqKbqefqLM 💐

[@code5913]

My textbook mentions that we can get the weights through the Lagrange function. Could you possibly explain how that's possible? For example, if n=0, the weight is a0=2. When n =1, a0 = a1 = 1. Everything is on the same interval, [-1,1].

[@wehavebiscuits]

I understood more from this video than the other youtube video on the same subject. Thanks

[@charlesperry7300]

Agree

[@iyasss2146]

Thanks a lot, it help me to understanding gauss quadratic more than my teacher.

[@dr.p.s140]

Thanks for your nice course delivery..

[@aaj1415]

Very clear and direct video.. Thank you so much!

[@dhruv3337]

Sir can you tell advantages, disadvantages and applications of Gaussian quadrature

[@Mordecaialivanoshea]

I'm not the uploader, but it guarantees a higher degree of accuracy for less. The Degree of precision is 2n-1, so in the example in the video it's 2(2)-1 or 3 (since we were going up to t^2). So it's guaranteed to be accurate for up to the 3rd series in a taylor polynomial expansion.

[@kiainfinity]

heeriye heeriye ahhh ahhh

[@agabatomcarlos9098]

Thanks very much Sir. Could you help me with the error bounds formula derivation for gaussian quadrature. Thanks.

[@الأستاذأحمدالرماحي-ع3ع]

Hello Can this method be applied to solve the Friedholm integral equation?

[@arnavbhavsar2713]

I understood it very well, great explanation

[@sirwilliamhenry]

Thanks for the excellent explanation! Kudos to u!

[@Arhatu]

How can apply it to Gamma function?

[@AJ-et3vf]

Awesome video! Thank you!

[@muhammadtaimourafzal5285]

You are legend sir !!!!

[@zaibnisa7368]

Thanks you so much sir

[@rittwikchatterjee5347]

Thanks a lot!

[@rachibeliegise2947]

12:50

[@tariqrasool1849]

I did not get 14:42

[@villapusa4825]

replace t by 1/sqrt(3)

[@edwardyudolevich3352]

U wrote simpson’s rule incorrectly